Ed Wood Sourdoughs

On a whim I decided to purchased an Italian sourdough starter for sourdo.com. Delivery was quick, great packaging & got it activated pretty quickly given the wordy instructions that came with it. I already have a starter I've been using for years that I made from scratch, but wanted to try something different. Figured getting a starter that's supposed to originate from across the pond should give me a different flavor profile & maybe that great Italian bread taste I fell in love with while in Italy last year. But then I realized, if I feed this starter with the same flour I've been using here, this " imported" starter will eventually just end up tasting like old faithful I've been using from my fridge. Am I wrong in assuming this? Will a starter that's supposed to be from another part of the world loose it's distinct local mojo unless it's feed the same flour it was cultivated from? Will the Polish or Gaza starter eventually just end up tasting the same as the one I already have because feed flour is local to my region? Is it worth trying different ones, or once activated & feed local flour over time it will just all behave & taste the same anyways?